SOLUTION OF EXACT (LOCAL) RENORMALIZATION-GROUP EQUATION

被引：6

作者：

FILIPPOV, AE

机构：

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1992年 / 91卷 / 02期

关键词：

D O I：

10.1007/BF01018853

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The exact renormalized-group equation for a local free energy functional is investigated for arbitrary dimension d of space in the interval 2 less-than-or-equal-to d less-than-or-equal-to 4. There is found to be a unique physical branch of the solution d = 3 for a stable fixed point, and the properties of this solution are investigated. For d<3 there are found to be additional branches of the solution corresponding to multicritical behavior described by (phi2)k theories of different orders k.

引用

页码：551 / 560

页数：10

共 15 条

[1]

Abramowitz M., 1965, HDB MATH FUNCTIONS F

[2]

[Anonymous], 2001, MODERN THEORY CRITIC

[3]

Bogoliubov N., 1980, INTRO THEORY QUANTIZ

[4]

COURANT R, 1964, UNPUB PARTIELLE DIFF

[5] RENORMALIZATION-GROUP IN THE LOCAL POTENTIAL APPROXIMATION [J].

FELDER, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 111 (01) :101-121

[6]

Green M, 1976, PHASE TRANSITIONS CR, V6, P8

[7] THE SCALE EQUATIONS IN THE CRITICAL-DYNAMICS OF FLUCTUATING SYSTEMS [J].

IVANCHENKO, YM ;

LISYANSKII, AA ;

FILIPPOV, AE .

JOURNAL OF STATISTICAL PHYSICS, 1990, 58 (1-2) :295-323

[8] NEW SMALL RG PARAMETER [J].

IVANCHENKO, YM ;

LISYANSKII, AA ;

FILIPPOV, AE .

PHYSICS LETTERS A, 1990, 150 (02) :100-104

[9]

IVANCHENKO YM, 1990, TEOR MAT FIZ, V84, P223

[10]

Ivanchenko Yu.M., 1989, FLUCTUATION EFFECTS

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